File Descriptions:

1. PA_QP_Table1.pdf: This was received via email request from the PA lottery. This data was used to create the first two columns in Table 1. Take weighted averages of the Pick# day an evening games, Mega Millions and Megaplier, Powerball and Powerplay and just copied the values for other games. For the game characteristics in Table 1, see the PA lottery website to find the relevant information, or contact the PA lottery for historical info if games have changed since the time the paper was written.

2. Right_to_Know_2023-033 -- Bet Methods by Game and Basket, MultiGame Baskets, 2021-03-31.xlsx: This was received from the PA lottery via email request. This data was used for the calculations that show the common pattern is to manually select for non-lotto games and qp for lottos. 
Variable Explanations:
a. date: transaction date, all May 31, 2021
b. RetailerId: Unique retailer id
c. SessionId - (PA lottery explanation): The session IDs are unique to the basket of transactions. So, any rows with the same sessionID numbers were purchased together at the same time by the same player.
d. Game: Lottery game
e. BetMethod: Manual or QP
f. Number of tickets - (PA lottery explanation): the number of individual tickets printed for that game in that session
g. UniquePlaysOnTicket - (PA lottery explanation): each ticket can have up to five plays of a single game before a separate one needs printed. So, if I ask for 5 Powerball tickets, all five sets of numbers can appear on one ticket. More than that and a second ticket needs to be printed.
h. NumberOfDrawsOnTicket - (PA lottery explanation): players can also “pre-purchase” for future draws. So, I could say, “I’d like these numbers for Cash 5 for the next 10 draws,” so I wouldn’t have to go back to the store every day to buy another ticket. Max future draws == 26.
i. TotalValue - (PA lottery explanation): the total spent on that game in that sessionID.

3. skew_manual_first_code.txt: The code used in mTurk to generate half the data of Experiment I that had the manual option displayed as option 1.

4. skew_qp_first_code.txt: The code used in mTurk to generate half the data of Experiment I that had the qp option displayed as option 1.

5. skew_manual_first_data.csv: The experimental data for those who took the experiment displayed by skew_manual_first_code.txt.
Variable Explanations:
a. Columns A-AA: standard mTurk variables whose precise definitions can be learned from mTurk documentation or AI inquiry.
b. Columns AB-AD: registers 1 if subject selected qp, indifferent, or manual, respectively, for the high skew question (0.0001% win).
c. Columns AE-AG: registers 1 if subject selected qp, indifferent, or manual, respectively, for the low skew question (0.1% win).
d. Columns AH-AO: winning numbers either selected by the subject or randomly generated, depending on their responses to the questions. Each question results in exactly 2 of the 8 columns to have values, there are two questions, so subjects who followed instructions should have values in exactly 4 of these 8 columns.

6. skew_qp_first_data.csv: The experimental data for those who took the experiment displayed by skew_qp_first_code.txt.
Variable Explanations:
a. Columns A-AA: standard mTurk variables whose precise definitions can be learned from mTurk documentation or AI inquiry.
b. Columns AB-AD: registers 1 if subject selected qp, indifferent, or manual, respectively, for the high skew question (0.0001% win).
c. Columns AE-AG: registers 1 if subject selected qp, indifferent, or manual, respectively, for the low skew question (0.1% win).
d. Columns AH-AO: winning numbers either selected by the subject or randomly generated, depending on their responses to the questions. Each question results in exactly 2 of the 8 columns to have values, there are two questions, so subjects who followed instructions should have values in exactly 4 of these 8 columns.

7. probability_manual_first_code.txt: The code used in mTurk to generate half the data of Experiment II that had the manual option displayed as option 1.

8. probability_qp_first_code.txt: The code used in mTurk to generate half the data of Experiment II that had the qp option displayed as option 1.

9. probability_manual_first_data.csv: The experimental data for those who took the experiment displayed by probability_manual_first_code.txt.
Variable Explanations:
a. Columns A-AA: standard mTurk variables whose precise definitions can be learned from mTurk documentation or AI inquiry.
b. Columns AB-AD: registers TRUE if subject selected qp, manual, or indifferent, respectively, for the high probability question (90% win).
c. Columns AE-AG: registers TRUE if subject selected qp, manual, or indifferent, respectively, for the low probability question (10% win).

10. probability_qp_first_data.csv: The experimental data for those who took the experiment displayed by probability_qp_first_code.txt.
Variable Explanations:
a. Columns A-AA: standard mTurk variables whose precise definitions can be learned from mTurk documentation or AI inquiry.
b. Columns AB-AD: registers TRUE if subject selected qp, manual, or indifferent, respectively, for the high probability question (90% win).
c. Columns AE-AG: registers TRUE if subject selected qp, manual, or indifferent, respectively, for the low probability question (10% win).

11. pa_quickpick.do: This Stata code yields the numbers cited after Table 1 that alleviate selection concerns. Explanation is given in comments and AI can provide additional clarifications.

12. skew_high_low.do: This Stata code generates Table 2 and runs the binomial test discussed afterwards. Explanation is given in comments and AI can provide additional clarifications.

13. probability_high_low.do: This Stata code generates Table 3 and runs the binomial test discussed afterwards. Explanation is given in comments and AI can provide additional clarifications.
